A particle of mass m = 1.18 kg is attached between two identical springs on å frictionless, horizontal tabletop. Both springs have spring constant k and are initially unstressed, and a particle is at x = 0. a) The particle is pulled a distance x along a direction perpendicular to the initial configuration of the springs as shown. Show that the force exerted by the springs on the particle is: Overhead view X-0- L F=-2kx| 1- Vx+L² b) show that the potential energy of the system is U (x)=kx²+ 2kL (L-Vx²+L²) c) Make a plot of U(x) versus x and identify all equilibrium points. Assume L = 1.20 m and k = 40.0 N/ m. wwwww

A particle of mass m = 1.18 kg is attached between two identical springs on å frictionless, horizontal tabletop. Both springs have spring constant k and are initially unstressed, and a particle is at x = 0. a) The particle is pulled a distance x along a direction perpendicular to the initial configuration of the springs as shown. Show that the force exerted by the springs on the particle is: Overhead view X-0- L F=-2kx| 1- Vx+L² b) show that the potential energy of the system is U (x)=kx²+ 2kL (L-Vx²+L²) c) Make a plot of U(x) versus x and identify all equilibrium points. Assume L = 1.20 m and k = 40.0 N/ m. wwwww